Question

Diyoshana, Hemant and Rupesh got different answers for this problem: {-10-3(10÷2)}-4.

Diyoshana's answer was 1, Hemant's answer was -29, and Rupesh's answer was 21

a). Which student had the correct answer?
b). Show and explain how other two students got their answers. What errors did they make?

My opinion on this:
this is a way to long question

I'm giving 20 points for this​

Answer 1

Answer:

a)hemant is correct

b) they didn't solve this according to BoDMAS so they got wrong answer

Answer 2

a) The student Hemant's answer -29 is the correct answer, b) The errors they make is the change of sign in the first step.

What is simplification of an expression?

Simplification of an expression is the process of writing an expression in the most efficient and compact form without affecting the value of the original expression. It involves, multiply out the brackets and then simplify the resulting expression by collecting the like terms.

For the given situation,

The expression is {-10-3(10÷2)}-4

⇒ $[-10-3(\frac{10}{2} )]-4$

⇒ $[-10-3(5)]-4$

⇒ $[-10-15]-4$

⇒ $[-25]-4$

⇒ $-29$

a) The student Hemant's answer -29 is the correct answer.

b) The student Diyoshana did mistake in sign in step 1 as

⇒ $[-10+3(\frac{10}{2} )]-4$

⇒ $[-10+15]-4$

⇒ $5-4$

⇒ $1$

The student Rupesh did mistake in sign in step 1 as

⇒ $[10+3(\frac{10}{2} )]-4$

⇒ $25-4$

⇒ $21$

Hence we can conclude that a) The student Hemant's answer -29 is the correct answer, b) The errors they make is the change of sign in the first step.

Learn more about simplification of an expression here

https://brainly.com/question/11444405

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